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Finding the Fourth Proportional to 17,713.08, 26,551.40 and 7,857

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Solution

The fourth proportional to 17,713.08, 26,551.40 and 7,857 is: 11,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.08 : 26,551.40 = 7,857 : x
  2. Step 2: Convert to fraction form
    17,713.08/26,551.40 = 7,857/x
  3. Step 3: Cross multiply
    17,713.08x = 26,551.40 × 7,857
  4. Step 4: Simplify right side
    17,713.08x = 208,614,310.52
  5. Step 5: Solve for x
    x = 208,614,310.52/17,713.08
  6. Step 6: Final answer
    x = 11,777.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.